Perspectives in Logic

Proper and Improper Forcing

Saharon Shelah

Book information

Author
Saharon Shelah

Publication information
Perspectives in Mathematical Logic, Volume 5
2nd
Berlin: Springer-Verlag, 1998
1020 pp.

Dates
Publication date: 1998
First available in Project Euclid: 23 February 2009

Permanent link to this book
https://projecteuclid.org/euclid.pl/1235419814

ISBN:
3-540-51700-6

Mathematical Reviews (MathSciNet):
MR1623206

Subjects
Primary: 03E05: Other combinatorial set theory 03E35: Consistency and independence results 03E45: Inner models, including constructibility, ordinal definability, and core models 03E50: Continuum hypothesis and Martin's axiom [See also 03E57]

Rights
Copyright © 1998, Association for Symbolic Logic

Citation
Saharon Shelah, Proper and Improper Forcing, 2nd ed. (Berlin: Springer-Verlag, 1998)

Select/deselect all
  • Export citations
Miscellaneous Frontmatter
Abstract PDF
Introductionxv - xlvii
Abstract PDF
Chapter I: Forcing, Basic Facts1 - 49
Abstract PDF
Chapter II: Iteration of Forcing50 - 88
Abstract PDF
Chapter III: Proper Forcing89 - 143
Abstract PDF
Chapter IV: On Oracle-c.c.,the Lifting Problem of the Measure Algebra, and "$\mathcal{P}(\omega)$/finite Has No Non-trivial Automorphism"144 - 193
Abstract PDF
Chapter V: $\alpha$-Properness and Not Adding Reals194 - 246
Abstract PDF
Chapter VI: Preservation of Additional Properties, and Applications247 - 371
Abstract PDF
Chapter VII: Axioms and Their Application372 - 402
Abstract PDF
Chapter VIII: $\kappa$-pic and Not Adding Reals403 - 435
Abstract PDF
Chapter IX: Souslin Hypothesis Does Not Imply "Every Aronszajn Tree Is Special"436 - 466
Abstract PDF
Chapter X: On Semi-Proper Forcing467 - 531
Abstract PDF
Chapter XI: Changing Cofinalities; Equi-Consistency Results532 - 588
Abstract PDF
Chapter XII: Improper Forcing589 - 603
Abstract PDF
Chapter XIII: Large Ideals on $\omega_1$604 - 678
Abstract PDF
Chapter XIV: Iterated Forcing with Uncountable Support679 - 731
Abstract PDF
Chapter XV: A More General Iterable Condition Ensuring $\aleph_1$ Is Not Collapsed732 - 777
Abstract PDF
Chapter XVI: Large Ideals on $\aleph_1$ from Smaller Cardinals778 - 802
Abstract PDF
Chapter XVII: Forcing Axioms803 - 853
Abstract PDF
Chapter XVIII: More on Proper Forcing854 - 939
Abstract PDF
Appendix: On Weak Diamonds and the Power of Ext940 - 995
Abstract PDF
References997 - 1020
Abstract PDF
Miscellaneous Backmatter
Abstract PDF
Select/deselect all
  • Export citations

Top

Association for Symbolic Logic

Perspectives in Logic
  • You have access to this content.
  • You have partial access to this content.
  • You do not have access to this content.
Turn Off MathJax

What is MathJax?